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In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, an

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In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, an  [#permalink]

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New post 25 Sep 2018, 05:02
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In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, and (4/7)th of the Barbies were purchased before the age of 10. If 90 dolls in Ghazal’s collection are Barbies that were purchased at the age of 10 or later, how many dolls in her collection are non-Barbie dolls?

(A) 70
(B) 90
(C) 140
(D) 154
(E) 192

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In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, an  [#permalink]

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New post 25 Sep 2018, 10:21
Pick a number which is which is a lcm of 5 and 7 to make the calculation easier.
Let the total be 35k.
barbie = 3/5 * 35k = 21k ; Non Barbie = 14k

Out of 21k , 4/7 purchased below age of 10 = 12k.
Therefore , 9k > age of 10.
Given , 9k = 90 ; k = 10

Total non barbie doll = 14k = 140
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In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, an  [#permalink]

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New post 26 Sep 2018, 10:09
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Most important thing here is to get an overview of the quantities!
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In Ghazal’s doll collection, (3/5)th of the dolls are Barbie dolls, an   [#permalink] 26 Sep 2018, 10:09
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